Question

A survey was conducted to determine whether the gender of voters is associated with the gender of their choice of political candidates in an election where a male was running against a female. A total of 40 women and 40 men voters were surveyed. 30 of the women voters chose the female candidate, and 10 chose the man. 24 of the male voters chose the male candidate, and 16 chose the female.

1. Construct an appropriate 2x2 contingency table (3 pts)

2. What is the null and alternate hypothesis? (2 pts)

3. Calculate expected frequencies for each cell in the table (3 pts)

4. Calculate the chi sq. statistic (3 pts)

5. The p-value for the chi square statistic was 0.017, please interpret the meaning of that.

Answer 1

5. p-value for the chi square statistic was 0.017

p value = 0.017 < 0.05

Reject Ho

There is sufficient evidence to support the claim conclude that there is no association between gender of voters and the gender of their choice of politician candidates in an election

if alpha = 0.01

Fail to reject ho

There is insufficient evidence to support the claim conclude that there is no association between gender of voters and the gender of their choice of politician candidates in an election

alternative Ha :